A Solid Has a Circular Base of Radius 1 $\frac { \pi } { 2 }$

question 7

Multiple Choice

A solid has a circular base of radius 1. Parallel cross-sections perpendicular to the base are equilateral triangles. Find the volume of the solid.

• A) \(\frac { \pi } { 2 }\)
• B) \(\frac { \sqrt { 3 } } { 2 }\)
• C) \(\frac { 3 \pi } { 2 }\)
• D) \(\frac { 3 \sqrt { 3 } } { 2 }\)
• E) \(\frac { 2 \pi } { 3 }\)
• F) \(\frac { 4 \sqrt { 3 } } { 3 }\)
• G) \(\frac { 3 \pi } { 4 }\)
• H) \(\frac { 2 \sqrt { 2 } } { 3 }\)

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